Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144392 and 144400 the smallest integer that is 2606275600 that is divisible by both numbers.
Least Common Multiple (LCM) of 144392 and 144400 is 2606275600.
LCM(144392,144400) = 2606275600
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 144392 and 144400. First we will calculate the prime factors of 144392 and 144400.
Prime Factorization of 144392
2 | 144392 |
2 | 72196 |
2 | 36098 |
18049 | 18049 |
1 |
Prime factors of 144392 are 2,18049. Prime factorization of 144392 in exponential form is:
144392 = 23×180491
Prime Factorization of 144400
2 | 144400 |
2 | 72200 |
2 | 36100 |
2 | 18050 |
5 | 9025 |
5 | 1805 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 144400 are 2, 5,19. Prime factorization of 144400 in exponential form is:
144400 = 24×52×192
Now multiplying the highest exponent prime factors to calculate the LCM of 144392 and 144400.
LCM(144392,144400) = 24×52×192×180491
LCM(144392,144400) = 2606275600
Factors of 144392
List of positive integer factors of 144392 that divides 144392 without a remainder.
1, 2, 4, 8, 18049, 36098, 72196, 144392
Factors of 144400
List of positive integer factors of 144400 that divides 144400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 361, 380, 400, 475, 722, 760, 950, 1444, 1520, 1805, 1900, 2888, 3610, 3800, 5776, 7220, 7600, 9025, 14440, 18050, 28880, 36100, 72200, 144400
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144392 and 144400, than apply into the LCM equation.
GCF(144392,144400) = 8
LCM(144392,144400) = ( 144392 × 144400) / 8
LCM(144392,144400) = 20850204800 / 8
LCM(144392,144400) = 2606275600
(i) The LCM of 144400 and 144392 is associative
LCM of 144392 and 144400 = LCM of 144400 and 144392
1. What is the LCM of 144392 and 144400?
Answer: LCM of 144392 and 144400 is 2606275600.
2. What are the Factors of 144392?
Answer: Factors of 144392 are 1, 2, 4, 8, 18049, 36098, 72196, 144392. There are 8 integers that are factors of 144392. The greatest factor of 144392 is 144392.
3. What are the Factors of 144400?
Answer: Factors of 144400 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 361, 380, 400, 475, 722, 760, 950, 1444, 1520, 1805, 1900, 2888, 3610, 3800, 5776, 7220, 7600, 9025, 14440, 18050, 28880, 36100, 72200, 144400. There are 45 integers that are factors of 144400. The greatest factor of 144400 is 144400.
4. How to Find the LCM of 144392 and 144400?
Answer:
Least Common Multiple of 144392 and 144400 = 2606275600
Step 1: Find the prime factorization of 144392
144392 = 2 x 2 x 2 x 18049
Step 2: Find the prime factorization of 144400
144400 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2606275600 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 19 x 18049
Step 4: Therefore, the least common multiple of 144392 and 144400 is 2606275600.